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Finding the Fourth Proportional to 71,010.63, 106,414.43 and 52,142.63

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Solution

The fourth proportional to 71,010.63, 106,414.43 and 52,142.63 is: 78,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,010.63 : 106,414.43 = 52,142.63 : x
  2. Step 2: Convert to fraction form
    71,010.63/106,414.43 = 52,142.63/x
  3. Step 3: Cross multiply
    71,010.63x = 106,414.43 × 52,142.63
  4. Step 4: Simplify right side
    71,010.63x = 5,548,727,457.37
  5. Step 5: Solve for x
    x = 5,548,727,457.37/71,010.63
  6. Step 6: Final answer
    x = 78,139.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.